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Finding the Third Proportional to 25,570 and 55,789

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Solution

The third proportional to 25,570 and 55,789 is: 121,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570 : 55,789 = 55,789 : x
  2. Step 2: Convert to fraction form
    25,570/55,789 = 55,789/x
  3. Step 3: Cross multiply
    25,570x = 55,789 × 55,789
  4. Step 4: Simplify right side
    25,570x = 3,112,412,521
  5. Step 5: Solve for x
    x = 3,112,412,521/25,570
  6. Step 6: Final answer
    x = 121,721.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.